4 No matter which line I choose I always seem to choose the

4. No matter which line I choose, I always seem to choose the one that takes the longest... A bank branch located in a commercial district of a city has developed an improved process for serving customers during the noon-to-1:00 p.m. lunch period. The waiting time (defined as the time the customer enters the line until he or she reaches the teller window) of all customers during this hour is recorded over a period of 1 week. A random sample of 100 customers is selected. The data can be found in the file WaitTime.jmp on Blackboard. (a) Using JMP or another technology, find the values of the mean and the standard deviation for these data. Report these values in the space provided. Round your answers to two decimal points. i. ¯x = ii. s = (b) At the 0.05 level of significance, is there evidence that the population mean waiting time is less than 6 minutes? i. Identify the null and alternative hypothesis, H0 and Ha: H0 : Ha : ii. Report the test statistic. iii. How many degrees of freedom are associated with your test statistic? iv. Report the appropriate p-value. v. Identify the appropriate decision. A. Since the p-value is less than = 0.05, we reject the null hypothesis. B. Since the p-value is greater than = 0.05, we reject the null hypothesis. C. Since the p-value is less than = 0.05, we fail to reject the null hypothesis. D. Since the p-value is greater than = 0.05, we fail to reject the null hypothesis. (c) (FREE RESPONSE) Explain what a Type I Error is in the context of this problem

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